YOU SAID:
My wife is cooking in the kitchen while a cat watch her.
INTO JAPANESE
私の妻は、彼女の猫見ながら台所で料理です。
BACK INTO ENGLISH
My wife has her cat is cooking in the kitchen.
INTO JAPANESE
私の妻は彼女の猫は台所で料理をします。
BACK INTO ENGLISH
My wife is in the kitchen cooking her cat.
INTO JAPANESE
私の妻は彼女の猫を調理する台所では。
BACK INTO ENGLISH
My wife is in the kitchen to cook her cat.
INTO JAPANESE
私の妻は彼女の猫を調理する台所では。
BACK INTO ENGLISH
My wife is in the kitchen to cook her cat.
That didn't even make that much sense in English.